A joint apparatus with two degrees of freedom and a large range of singularity-free motion is provided including a first support, a second support, a pivot coupled between the first and second supports for allowing the second support to tilt in first and second directions relative to the first support, a first linkage coupled between the first and second supports for tilting the second support in the first direction relative to the first support, and a second linkage coupled between the first and second supports for tilting the second support in the second direction relative to the first support.